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path: root/artifacts/synth_v1/rank_causal.json
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{
  "protocol": "Both fields truncated to the same rank, then matched blind from a spectral start with exact refinement. Hidden pairing generated per trial and read only for scoring.",
  "label": "synthetic-watershed",
  "size": 256,
  "chance": 0.00390625,
  "rows": [
    {
      "rank": 4,
      "correlation": 0.9016677754313268,
      "recovery": 0.0625,
      "visual_effective_rank": 44.86571084196529
    },
    {
      "rank": 8,
      "correlation": 0.9058447537972105,
      "recovery": 0.12890625,
      "visual_effective_rank": 71.3420544398913
    },
    {
      "rank": 16,
      "correlation": 0.9281446653770646,
      "recovery": 0.9557291666666666,
      "visual_effective_rank": 95.72603497323556
    },
    {
      "rank": 32,
      "correlation": 0.9282073730691501,
      "recovery": 0.9375,
      "visual_effective_rank": 109.47942916160699
    },
    {
      "rank": 64,
      "correlation": 0.9284208632987705,
      "recovery": 0.9583333333333334,
      "visual_effective_rank": 106.31167521180129
    },
    {
      "rank": 128,
      "correlation": 0.9284791170404748,
      "recovery": 0.9609375,
      "visual_effective_rank": 106.04029186749484
    },
    {
      "rank": 256,
      "correlation": 0.928480988366389,
      "recovery": 0.9583333333333334,
      "visual_effective_rank": 106.03700034539153
    }
  ],
  "reading": "Recovery collapsing at low rank while the correlation stays above the recovery threshold shows the headline correlation is not sufficient and the shared spectrum's width is the binding constraint."
}